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Finding the Fourth Proportional to 1,104.00, 1,657.44 and 740.41

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Solution

The fourth proportional to 1,104.00, 1,657.44 and 740.41 is: 1,111.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.00 : 1,657.44 = 740.41 : x
  2. Step 2: Convert to fraction form
    1,104.00/1,657.44 = 740.41/x
  3. Step 3: Cross multiply
    1,104.00x = 1,657.44 × 740.41
  4. Step 4: Simplify right side
    1,104.00x = 1,227,185.15
  5. Step 5: Solve for x
    x = 1,227,185.15/1,104.00
  6. Step 6: Final answer
    x = 1,111.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.